Answer: a) k=8
b) The area of the addition =
The area of the entire patio after addition 
Step-by-step explanation:
Given: The area of the patio before addition = 50 square feet
The area of the addition portion is given by 
We can see that dimension of the total portion is 
therefore, the area of the patio with the addition portion = 
According to the question we have,

Therefore, The area of the addition =
The area of the entire patio after addition = 
When u have an undefined slope, u have a vertical line. A vertical line, since it has an undefined slope, cannot be written in slope intercept form.
Solution 1. 4.896 meters. Sample reasoning: The actual height is 48 times the scaled height. . 4,896 mm is 4.896 m.
102 mm is 0.102 m. The actual train is 48 times 0.102 m. .
2. No. Sample explanation: The modern train needs tracks that are 60 inches apart, because 1 1/4 x 48 =60 . The old tracks are only 54 inches, so they are not wide enough.
Step-by-step explanation:
Based on the exchange rate, at the end of the trade, Lewis will have 31 puppets and 2 puzzles left over while Geppeto will have 158 puzzles and 4 puppets left over.
<h3>What is the exchange rate of puzzles for puppets?</h3>
The exchange rate of puzzles for puppets is 3 to 1.
Geppeto has 20 puppets to exchange for puzzles.
Lewis has 50 puzzles to exchange for puppets.
Number of times Lewis can exchange puzzles for puppets = 50/3 = 16 times.
Lewis will get 16 puppets in exchange for 48 puzzles.
Therefore;
Lewis will have 16 + 25 puppets = 31 puppets and 2 puzzles left over
Geppeto will have 48 + 100 puzzles = 158 puzzles and 4 puppets left over.
in conclusion, the exchange rate determines the how many puzzles and puppets will each one have after they complete their trade.
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The probability of getting a number less than 6 is: 5/8
Step-by-step explanation:
When a 8 sided fair die is rolled the event space is:
S = {1,2,3,4,5,6,7,8}
n(S) = 8
Let A be the event that the number is less than 6
A = {1,2,3,4,5}
n(A) = 5
So,

The probability of getting a number less than 6 is: 5/8
Keywords: Sample, Probability
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